Determines infinitesimal structure at boundary singular points and Hausdorff dimensions of boundary singular sets in limits of manifolds with boundary under sectional curvature, second fundamental form, and diameter bounds when inradii are bounded below.
Title resolution pending
3 Pith papers cite this work. Polarity classification is still indexing.
3
Pith papers citing it
verdicts
UNVERDICTED 3representative citing papers
Proves Lipschitz regularity of continuous harmonic maps from finite-dimensional Alexandrov spaces to compact smooth Riemannian manifolds, solving Lin's conjecture by extending Huang-Wang's argument.
In Alexandrov spaces with curvature bounded below, the pushforward of a probability measure to the tangent cone at its barycenter has support contained in a Hilbert space without requiring separability of the cone.
citing papers explorer
-
Limits of manifolds with boundary I
Determines infinitesimal structure at boundary singular points and Hausdorff dimensions of boundary singular sets in limits of manifolds with boundary under sectional curvature, second fundamental form, and diameter bounds when inradii are bounded below.
-
Partial regularity of harmonic maps from Alexandrov spaces
Proves Lipschitz regularity of continuous harmonic maps from finite-dimensional Alexandrov spaces to compact smooth Riemannian manifolds, solving Lin's conjecture by extending Huang-Wang's argument.
-
A note on flatness of non separable tangent cone
In Alexandrov spaces with curvature bounded below, the pushforward of a probability measure to the tangent cone at its barycenter has support contained in a Hilbert space without requiring separability of the cone.